Given numbers are 979,410,148,188,900

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 979,410,148,188,900 is 62821548900.

Find LCM of 979,410,148,188,900 with Prime Factorization

Multiply the prime numbers at the bottom and the left side.

2 x 2 x 5 x 979 x 41 x 37 x 47 x 45 = 62821548900

Therefore, the lowest common multiple of 979,410,148,188,900 is 62821548900.

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

979 x 410 x 148 x 188 x 900 = 10051447824000

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

979 : 1, 11, 89, 979

410 : 1, 2, 5, 10, 41, 82, 205, 410

148 : 1, 2, 4, 37, 74, 148

188 : 1, 2, 4, 47, 94, 188

900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 979,410,148,188,900, is 1.

Now, the common factors can be found like this.

979:11x 89

410:2x 5x 41

148:2x 2x 37

188:2x 2x 47

900:2x 2x 3x 3x 5x 5

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2x 2x 2x 2x 5 = 160

Therefore, the value for common factors is 160.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 10051447824000/(1x160)

LCM = 10051447824000/160

LCM = 62821548900

Thus, we can understand that the LCM of 979,410,148,188,900 is 62821548900.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 761, 846, 871, 963, 724
• LCM of 758, 731, 852, 347, 233
• LCM of 179, 557, 135, 367, 355
• LCM of 467, 931, 273, 271, 554
• LCM of 614, 606, 480, 129, 851

1. What is the LCM of 979, 410, 148, 188, 900?

Answer: LCM of 979, 410, 148, 188, 900 is 62821548900.

2. How to calculate the LCM of 979, 410, 148, 188, 900?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 979, 410, 148, 188, 900.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.